Chemistry - Chemical Kinetics Question with Solution | TestHub

For a first order reaction, the half life $t_{1/2}$ is given by the formula:

$t_{1/2}=\frac{0.693}{k}$

Substituting the given value of the rate constant $k=3.0\times 10^{-2}{\text{s}}^{-1}$:

$t_{1/2}=\frac{0.693}{3.0\times 10^{-2}}$

$t_{1/2}=\frac{69.3}{3.0}$

$t_{1/2}=23.1\text{s}$

Answer: $23.1$ s